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Finding the Third Proportional to 624,346,373,468.24 and 993,457,816,791.76

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Solution

The third proportional to 624,346,373,468.24 and 993,457,816,791.76 is: 1,580,786,684,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,346,373,468.24 : 993,457,816,791.76 = 993,457,816,791.76 : x
  2. Step 2: Convert to fraction form
    624,346,373,468.24/993,457,816,791.76 = 993,457,816,791.76/x
  3. Step 3: Cross multiply
    624,346,373,468.24x = 993,457,816,791.76 × 993,457,816,791.76
  4. Step 4: Simplify right side
    624,346,373,468.24x = 986,958,433,744,650,151,919,616
  5. Step 5: Solve for x
    x = 986,958,433,744,650,151,919,616/624,346,373,468.24
  6. Step 6: Final answer
    x = 1,580,786,684,580.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.